XXZ chain with a boundary
Abstract
The XXZ spin chain with a boundary magnetic field h is considered, using the vertex operator approach to diagonalize the hamiltonian. We find explicit bosonic formulas for the two vacuum vectors with zero particle content. There are three distinct regions when h ⩾ 0, in which the structure of the vacuum states is different. Excited states are given by the action of vertex operators on the vacuum states. We derive the boundary S-matrix and present an integral formula for the correlation functions. The boundary magnetization exhibits boundary hysteresis. We also discuss the rational limit, the XXX model.
- Publication:
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Nuclear Physics B
- Pub Date:
- February 1995
- DOI:
- 10.1016/0550-3213(95)00062-W
- arXiv:
- arXiv:hep-th/9411112
- Bibcode:
- 1995NuPhB.441..437J
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- LaTeX 38 pages, 3 figures